McDonald, Brian; Sahay, Anurag; Wyman, Emmett L. The VC dimension of quadratic residues in finite fields. (English) Zbl 07940868 Discrete Math. 348, No. 1, Article ID 114192, 13 p. (2025). MSC: 11T30 11T24 05C69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhowmik, Pablo; Rakhmonov, Firdavs Near optimal thresholds for existence of dilated configurations in \(\mathbb{F}_q^d\). (English) Zbl 07970516 Bull. Aust. Math. Soc. 110, No. 2, 377-388 (2024). MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iosevich, Alex; Koh, Doowon; Rakhmonov, Firdavs The quotient set of the quadratic distance set over finite fields. (English) Zbl 07920512 Forum Math. 36, No. 5, 1341-1358 (2024). MSC: 11T23 52C10 05D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Zhipeng; Meng, Xianchang Geodesic covers and Erdős distinct distances in hyperbolic surfaces. (English) Zbl 1539.52014 Ann. Math. Blaise Pascal 30, No. 2, 201-217 (2024). MSC: 52C10 11P21 20H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iosevich, Alex; Pham, Thang; Senger, Steven; Tait, Michael Improved incidence bounds over arbitrary finite fields via the VC-dimension theory. (English) Zbl 07824153 Eur. J. Comb. 118, Article ID 103928, 9 p. (2024). MSC: 11B30 × Cite Format Result Cite Review PDF Full Text: DOI
Raz, Orit E.; Zahl, Joshua On the dimension of exceptional parameters for nonlinear projections, and the discretized Elekes-Rónyai theorem. (English) Zbl 07807596 Geom. Funct. Anal. 34, No. 1, 209-262 (2024). MSC: 28Axx 52Cxx 11Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Warren, Audie Incidences of cubic curves in finite fields. (English) Zbl 1533.51002 Electron. J. Comb. 31, No. 1, Research Paper P1.18, 7 p. (2024). Reviewer: Dirk Keppens (Gent) MSC: 51B05 11G20 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gamburd, Alexander Arithmetic and dynamics on varieties of Markoff type. (English) Zbl 07823043 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1800-1836 (2023). Reviewer: Björn Mützel (St. Petersburg, FL) MSC: 14G12 11N36 11D45 37P55 × Cite Format Result Cite Review PDF Full Text: DOI
Wigderson, Avi Interactions of computational complexity theory and mathematics. (English) Zbl 07821741 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1392-1432 (2023). MSC: 68Q01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bays, Martin; Martin, Jean-François Incidence bounds in positive characteristic via valuations and distality. (Bornes d’incidence en caractéristique positive par les valuations et la distalité.) (English. French summary) Zbl 07747038 Ann. Henri Lebesgue 6, 627-641 (2023). MSC: 03C98 03C45 05D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, Thang; Senger, Steven; Tran, The Dung Distribution of pinned distance trees in the plane \(\mathbb{F}_p^2\). (English) Zbl 1535.51008 Discrete Math. 346, No. 12, Article ID 113613, 10 p. (2023). Reviewer: Giovanni Longobardi (Napoli) MSC: 51E20 05C12 05C10 05C05 11B30 × Cite Format Result Cite Review PDF Full Text: DOI
Lichtin, Ben \(k\)-chain configurations of points over \(p\)-adic rings. (English) Zbl 1545.11106 Proc. Am. Math. Soc. 151, No. 10, 4113-4125 (2023). Reviewer: László A. Székely (Columbia) MSC: 11T23 52C10 11B30 × Cite Format Result Cite Review PDF Full Text: DOI
Clément, Francois; Mojarrad, Hossein Nassajian; Pham, Duc Hiep; Shen, Chun-Yen On the two-parameter Erdős-Falconer distance problem in finite fields. (English) Zbl 1521.52008 Bull. Aust. Math. Soc. 107, No. 3, 502-506 (2023). MSC: 52C10 11T24 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Ha, Dung M.; Ngo, Hieu T. Expanders on matrices over a finite chain ring. II. (English) Zbl 1531.11026 SIAM J. Discrete Math. 37, No. 3, 1587-1609 (2023). MSC: 11B75 11T30 05C50 × Cite Format Result Cite Review PDF Full Text: DOI
Machado, Simon Approximate lattices in higher-rank semi-simple groups. (English) Zbl 1537.22027 Geom. Funct. Anal. 33, No. 4, 1101-1140 (2023). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E40 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rakhmonov, Firdavs Distribution of similar configurations in subsets of \(\mathbb{F}_q^d\). (English) Zbl 1525.11013 Discrete Math. 346, No. 10, Article ID 113571, 21 p. (2023). MSC: 11B30 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ha, Dung M.; Ngo, Hieu T. Expanders on matrices over a finite chain ring. I. (English) Zbl 1531.11025 Int. J. Math. 34, No. 7, Article ID 2350034, 27 p. (2023). MSC: 11B75 11T30 05C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hieu, Do Duy On two-variable expanders over finite rings. (English) Zbl 1511.05123 Eur. J. Math. 9, No. 1, Paper No. 10, 8 p. (2023). MSC: 05C48 05C25 13A70 × Cite Format Result Cite Review PDF Full Text: DOI
Mohammadi, Ali; Pham, Thang; Warren, Audie A point-conic incidence bound and applications over \(\mathbb{F}_p\). (English) Zbl 1498.52028 Eur. J. Comb. 107, Article ID 103596, 15 p. (2023). MSC: 52C10 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudnev, Misha; Shkredov, Ilya D. On the growth rate in \(\mathrm{SL}_2(\mathbb{F}_p)\), the affine group and sum-product type implications. (English) Zbl 1543.11014 Mathematika 68, No. 3, 738-783 (2022). Reviewer: Kanat Abdukhalikov (Al Ain) MSC: 11B30 20G40 05E18 11B75 11T99 51E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blevins, Vincent; Crosby, David; Lynch, Ethan; Senger, Steven On the number of dot product chains in finite fields and rings. (English) Zbl 1508.11011 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 1-20 (2022). MSC: 11B30 11B75 52C10 05B15 11B13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gamburd, Alexander On the origins, nature, and impact of Bourgain’s discretized sum-product theorem. (English) Zbl 1509.11001 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 59-100 (2022). MSC: 11-03 01A70 11B30 11K55 × Cite Format Result Cite Review PDF Full Text: DOI
Taylor, Krystal Book review of: D. Covert, The finite field distance problem. (English) Zbl 1492.00033 Am. Math. Mon. 129, No. 7, 695-700 (2022). MSC: 00A17 11-01 11Txx 05-01 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Van The; Vinh, Le Anh Dot-product sets and simplices over finite rings. (English) Zbl 1517.11024 J. Fourier Anal. Appl. 28, No. 2, Paper No. 38, 27 p. (2022). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B75 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Xianchang Distinct distances on hyperbolic surfaces. (English) Zbl 1486.52048 Trans. Am. Math. Soc. 375, No. 5, 3713-3731 (2022). MSC: 52C10 11P21 11F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Chengfei; Ge, Gennian Some sum-product estimates in matrix rings over finite fields. (English) Zbl 1485.11055 Finite Fields Appl. 79, Article ID 101997, 17 p. (2022). MSC: 11B75 11B30 68R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Zilin; Yehudayoff, Amir An isoperimetric inequality for Hamming balls and local expansion in hypercubes. (English) Zbl 1481.05152 Electron. J. Comb. 29, No. 1, Research Paper P1.15, 20 p. (2022). MSC: 05D05 05C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Polly Matthews Jr. Distinct distances with \(\ell_p\) metrics. (English) Zbl 1479.52027 Comput. Geom. 100, Article ID 101785, 12 p. (2022). MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Greaves, Gary R. W.; Iverson, Joseph W.; Jasper, John; Mixon, Dustin G. Frames over finite fields: basic theory and equiangular lines in unitary geometry. (English) Zbl 1483.42019 Finite Fields Appl. 77, Article ID 101954, 41 p. (2022). MSC: 42C15 51E99 52C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salehi Golsefidy, Alireza (ed.); Kontorovich, Alex (ed.); Oh, Hee (ed.) Working session: Thin groups and super-approximation. Abstracts from the working session held October 10–15, 2021 (hybrid meeting). (Arbeitsgemeinschaft: Thin groups and super-approximation.) (English) Zbl 1506.00092 Oberwolfach Rep. 18, No. 4, 2721-2790 (2021). MSC: 00B05 00B25 22-06 37-06 22E40 37F35 11N45 × Cite Format Result Cite Review PDF Full Text: DOI
Yoo, Semin Incidences between Euclidean spaces over finite fields. (English) Zbl 1486.51009 Forum Math. 33, No. 4, 1051-1059 (2021). MSC: 51E30 05C35 05C50 15A63 × Cite Format Result Cite Review PDF Full Text: DOI
Kerr, Bryce Some multiplicative equations in finite fields. (English) Zbl 1472.11058 Finite Fields Appl. 75, Article ID 101883, 28 p. (2021). MSC: 11B30 11B25 11H06 11T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudnev, Misha On incidences of lines in regular complexes. (English) Zbl 1471.52014 Eur. J. Comb. 98, Article ID 103400, 9 p. (2021). MSC: 52C10 51E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sheffer, Adam; Zahl, Joshua Distinct distances in the complex plane. (English) Zbl 1471.52015 Trans. Am. Math. Soc. 374, No. 9, 6691-6725 (2021). Reviewer: Victor V. Pambuccian (Glendale) MSC: 52C10 52C35 51M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jialun Discretized sum-product and Fourier decay in \(\mathbb{R}^n\). (English) Zbl 1497.11030 J. Anal. Math. 143, No. 2, 763-800 (2021). Reviewer: Guoqing Wang (Tianjin) MSC: 11B30 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koh, Doowon; Pham, Thang; Vinh, Le Anh Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields. (English) Zbl 1468.42006 J. Funct. Anal. 281, No. 8, Article ID 109137, 54 p. (2021). MSC: 42B05 11T23 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheong, Daewoong; Koh, Doowon; Pham, Thang; Vinh, Le Anh Distribution of the determinants of sums of matrices. (English) Zbl 1477.11202 Rev. Mat. Iberoam. 37, No. 4, 1365-1398 (2021). MSC: 11T23 11T55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lichtin, Ben Averages of point configuration problems over finite \(p\)-adic rings. (English) Zbl 1495.11141 Proc. Am. Math. Soc. 149, No. 7, 2825-2839 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 11T24 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Sarnak, Peter An appreciation of Jean Bourgain’s work. (English) Zbl 1457.11107 Bull. Am. Math. Soc., New Ser. 58, No. 2, 151-153 (2021). MSC: 11K55 28A80 11B75 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Blázsik, Zoltán L.; Blokhuis, Aart; Miklavič, Štefko; Nagy, Zoltán Lóránt; Szőnyi, Tamás On the balanced upper chromatic number of finite projective planes. (English) Zbl 1456.05054 Discrete Math. 344, No. 3, Article ID 112266, 8 p. (2021). MSC: 05C15 05B10 51E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Tran, Phuc D.; The, Nguyen Van Some sum-product type estimates for two-variables over prime fields. (English) Zbl 1469.11041 Discrete Appl. Math. 289, 1-11 (2021). MSC: 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salehi Golsefidy, Alireza Sum-product phenomena: \(\mathfrak{P}\)-adic case. (English) Zbl 1454.11051 J. Anal. Math. 142, No. 2, 349-419 (2020). MSC: 11B30 11B13 11S99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thang Pham; Lê Anh Vinh Distribution of distances in positive characteristic. (English) Zbl 1458.14060 Pac. J. Math. 309, No. 2, 437-451 (2020). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14N10 51A45 52C10 11B30 11T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. On popular sums and differences for sets with small multiplicative doubling. (English. Russian original) Zbl 1453.11020 Math. Notes 108, No. 4, 557-565 (2020); translation from Mat. Zametki 108, No. 4, 561-571 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B75 11L07 11B13 11B50 × Cite Format Result Cite Review PDF Full Text: DOI
Do, Thao Extending Erdős-Beck’s theorem to higher dimensions. (English) Zbl 1472.52022 Comput. Geom. 90, Article ID 101625, 7 p. (2020). MSC: 52C10 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lund, Ben; Petridis, Giorgis Bisectors and pinned distances. (English) Zbl 1462.51010 Discrete Comput. Geom. 64, No. 3, 995-1012 (2020). Reviewer: Boumédiène Et-Taoui (Mulhouse) MSC: 51M05 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirzaei, Mozhgan A note on conditional expanders over prime fields. (English) Zbl 1443.11008 Discrete Math. 343, No. 9, Article ID 111951, 4 p. (2020). MSC: 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, Thang; Suk, Andrew On the structure of distance sets over prime fields. (English) Zbl 1453.11164 Proc. Am. Math. Soc. 148, No. 8, 3209-3215 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 11T23 11T60 11B30 11T24 11H31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudnev, Misha; Shkredov, Ilya D.; Stevens, Sophie On the energy variant of the sum-product conjecture. (English) Zbl 1477.11021 Rev. Mat. Iberoam. 36, No. 1, 207-232 (2020). MSC: 11B30 11B75 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iosevich, Alex; Koh, Doowon; Pham, Thang New bounds for distance-type problems over prime fields. (English) Zbl 1478.11031 Eur. J. Comb. 86, Article ID 103080, 11 p. (2020). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B75 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mohammadi, Ali Szemerédi-Trotter type results in arbitrary finite fields. (English) Zbl 1432.11027 Integers 20, Paper A7, 29 p. (2020). MSC: 11B75 11B30 11T23 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Iosevich, Alex; Koh, Doowon; Pham, Thang; Shen, Chun-Yen; Vinh, Le Anh A new bound for the Erdős distinct distances problem in the plane over prime fields. (English) Zbl 1447.52020 Acta Arith. 193, No. 2, 165-174 (2020). MSC: 52C10 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lewko, Mark Counting rectangles and an improved restriction estimate for the paraboloid in \(F_p^3\). (English) Zbl 1434.42010 Proc. Am. Math. Soc. 148, No. 4, 1535-1543 (2020). MSC: 42B10 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudnev, M.; Shakan, G.; Shkredov, I. D. Stronger sum-product inequalities for small sets. (English) Zbl 1442.11029 Proc. Am. Math. Soc. 148, No. 4, 1467-1479 (2020). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B30 52C10 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Helfgott, Harald Andrés Growth and expansion in algebraic groups over finite fields. (English) Zbl 1528.20080 Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 71-111 (2019). MSC: 20F69 20G40 20D60 11B30 05C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Weikun Discretized sum-product estimates in matrix algebras. (English) Zbl 1453.11019 J. Anal. Math. 139, No. 2, 637-676 (2019). MSC: 11B30 11B75 16S50 16K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macourt, Simon Decomposition of subsets of finite fields. (English) Zbl 1458.11020 Funct. Approximatio, Comment. Math. 61, No. 2, 243-255 (2019). MSC: 11B30 11T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Lewko, Mark Finite field restriction estimates based on Kakeya maximal operator estimates. (English) Zbl 1429.42009 J. Eur. Math. Soc. (JEMS) 21, No. 12, 3649-3707 (2019). MSC: 42B10 42B25 14G15 52C17 11T24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, Thang A sum-product theorem in matrix rings over finite fields. (Un théorème somme-produit dans les anneaux de matrices sur les corps finis.) (English. French summary) Zbl 1455.11023 C. R., Math., Acad. Sci. Paris 357, No. 10, 766-770 (2019). MSC: 11B30 11B75 20G40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Petridis, Giorgis; Shparlinski, Igor E. Bounds of trilinear and quadrilinear exponential sums. (English) Zbl 1454.11151 J. Anal. Math. 138, No. 2, 613-641 (2019). MSC: 11L07 11B30 11B13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vandehey, Joseph Differencing methods for Korobov-type exponential sums. (English) Zbl 1461.11112 J. Anal. Math. 138, No. 1, 405-439 (2019). MSC: 11L07 11A63 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen Distance sets over arbitrary finite fields. (English) Zbl 1454.11028 Ill. J. Math. 63, No. 3, 469-484 (2019). MSC: 11B30 11B75 11T24 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Chen, Changhao; Kerr, Bryce; Mohammadi, Ali A new sum-product estimate in prime fields. (English) Zbl 1453.11018 Bull. Aust. Math. Soc. 100, No. 2, 268-280 (2019). MSC: 11B30 11T99 05B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lewko, Mark An explicit two-source extractor with min-entropy rate near \(4/9\). (English) Zbl 1435.11025 Mathematika 65, No. 4, 950-957 (2019). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B30 05C35 68R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roche-Newton, Oliver; Shparlinski, Igor E.; Winterhof, Arne Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions. (English) Zbl 1473.11033 Ann. Comb. 23, No. 1, 183-205 (2019). MSC: 11B30 11T24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soukup, David M. Embeddings of weighted graphs in Erdős-type settings. (English) Zbl 1416.52011 Mosc. J. Comb. Number Theory 8, No. 2, 117-123 (2019). MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iosevich, Alex; Koh, Doowon; Parshall, Hans On the quotient set of the distance set. (English) Zbl 1454.11222 Mosc. J. Comb. Number Theory 8, No. 2, 103-115 (2019). Reviewer: Noureddine Daili (Sétif) MSC: 11T24 52C17 11H31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shkredov, Ilya Some remarks on the asymmetric sum-product phenomenon. (English) Zbl 1454.11029 Mosc. J. Comb. Number Theory 8, No. 1, 15-41 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11P70 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Covert, David; Koh, Doowon; Pi, Youngjin The generalized \(k\)-resultant modulus set problem in finite fields. (English) Zbl 1416.52010 J. Fourier Anal. Appl. 25, No. 3, 1026-1052 (2019). MSC: 52C10 42B05 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Bochen Group actions, the Mattila integral and applications. (English) Zbl 1464.28004 Proc. Am. Math. Soc. 147, No. 6, 2503-2516 (2019). Reviewer: Almaz Butaev (Montréal) MSC: 28A75 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murphy, Brendan; Petridis, Giorgis; Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. New results on sum-product type growth over fields. (English) Zbl 1429.11027 Mathematika 65, No. 3, 588-642 (2019). MSC: 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Covert, David; Karabulut, Yesim Demiroğlu; Pakianathan, Jonathan Cayley digraphs associated to arithmetic groups. (English) Zbl 1407.15038 Graphs Comb. 35, No. 2, 393-417 (2019). MSC: 15B10 15B33 11P05 05C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phuong, Nguyen Duy; Pham, Thang; Vinh, Le Anh Incidences between planes over finite fields. (English) Zbl 1447.51012 Proc. Am. Math. Soc. 147, No. 5, 2185-2196 (2019). MSC: 51E30 05B30 51C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katz, Nets Hawk; Zahl, Joshua An improved bound on the Hausdorff dimension of Besicovitch sets in \(\mathbb {R}^3\). (English) Zbl 1403.42020 J. Am. Math. Soc. 32, No. 1, 195-259 (2019). Reviewer: Anna Savvopoulou (South Bend) MSC: 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. (English) Zbl 1448.11213 Can. J. Math. 70, No. 6, 1319-1338 (2018). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11T23 11L07 11T06 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Shkredov, I. D. On asymptotic formulae in some sum-product questions. (English. Russian original) Zbl 1473.11034 Trans. Mosc. Math. Soc. 2018, 231-281 (2018); translation from Tr. Mosk. Mat. O.-va 79, No. 2, 271-334 (2018). MSC: 11B30 11B75 11Txx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Birklbauer, P.; Iosevich, A.; Pham, T. Distances from points to planes. (English) Zbl 1410.52011 Acta Arith. 186, No. 3, 219-224 (2018). Reviewer: Oliver Roche-Newton (Linz) MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nassajian Mojarrad, Hossein; Pham, Thang Conditional expanding bounds for two-variable functions over arbitrary fields. (English) Zbl 1442.11028 J. Number Theory 186, 137-146 (2018). MSC: 11B30 05C25 11T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murphy, Brendan; Petridis, Giorgis Products of differences over arbitrary finite fields. (English) Zbl 1429.11026 Discrete Anal. 2018, Paper No. 18, 42 p. (2018). MSC: 11B30 11B13 05B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García, Victor Cuauhtemoc The finite Littlewood problem in \(\mathbb{F}_p\). (English) Zbl 1428.11207 Ramanujan J. 47, No. 1, 85-98 (2018). MSC: 11T23 11L03 11L07 11D45 11D79 × Cite Format Result Cite Review PDF Full Text: DOI
Koh, Doowon; Nassajian Mojarrad, Hossein; Pham, Thang; Valculescu, Claudiu Four-variable expanders over the prime fields. (English) Zbl 1437.11163 Proc. Am. Math. Soc. 146, No. 12, 5025-5034 (2018). MSC: 11T55 11T06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Chun-Yen Fourier methods and non degenerate polynomials. (English) Zbl 1422.11018 Finite Fields Appl. 53, 140-143 (2018). MSC: 11B30 11B75 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Pham, Thang; Phuong, Nguyen Duy; Sang, Nguyen Minh; Valculescu, Claudiu; Vinh, Le Anh Distinct distances between points and lines in \(\mathbb{F}_q^2\). (English) Zbl 1392.05034 Forum Math. 30, No. 4, 799-808 (2018). MSC: 05C12 05C50 05B25 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Rudnev, Misha On the number of incidences between points and planes in three dimensions. (English) Zbl 1413.51001 Combinatorica 38, No. 1, 219-254 (2018). MSC: 51A45 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lund, Ben; Pham, Thang; Vinh, Le Anh Distinct spreads in vector spaces over finite fields. (English) Zbl 1387.51012 Discrete Appl. Math. 239, 154-158 (2018). MSC: 51E23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Birklbauer, Philipp; Iosevich, Alex A two-parameter finite field Erdős-Falconer distance problem. (English) Zbl 1425.42010 Bull. Hell. Math. Soc. 61, 21-30 (2017). MSC: 42B05 11T24 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bennett, Michael; Hart, Derrick; Iosevich, Alex; Pakianathan, Jonathan; Rudnev, Misha Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\). (English) Zbl 1429.52020 Forum Math. 29, No. 1, 91-110 (2017). MSC: 52C10 42B10 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Guth, Larry Ruled surface theory and incidence geometry. (English) Zbl 1387.14100 Loebl, Martin (ed.) et al., A journey through discrete mathematics. A tribute to Jiří Matoušek. Cham: Springer (ISBN 978-3-319-44478-9/hbk; 978-3-319-44479-6/ebook). 449-466 (2017). Reviewer: László A. Székely (Columbia) MSC: 14J26 52C10 51A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stevens, Sophie; de Zeeuw, Frank An improved point-line incidence bound over arbitrary fields. (English) Zbl 1388.51002 Bull. Lond. Math. Soc. 49, No. 5, 842-858 (2017). Reviewer: Norbert Knarr (Stuttgart) MSC: 51A05 52C35 51D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Covert, David; Koh, Doowon; Pi, Youngjin The \(k\)-resultant modulus set problem on algebraic varieties over finite fields. (English) Zbl 1376.52029 Finite Fields Appl. 48, 68-86 (2017). MSC: 52C10 42B05 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petridis, Giorgis Pinned algebraic distances determined by Cartesian products in \(\mathbb {F}_p^2\). (English) Zbl 1422.11017 Proc. Am. Math. Soc. 145, No. 11, 4639-4645 (2017). MSC: 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben-Sasson, Eli; Ron-Zewi, Noga; Sudan, Madhu Sparse affine-invariant linear codes are locally testable. (English) Zbl 1381.94114 Comput. Complexity 26, No. 1, 37-77 (2017). MSC: 94B05 68W20 11B30 × Cite Format Result Cite Review PDF Full Text: DOI
Phuong, Nguyen D.; Thang, Pham; Vinh, Le A. Incidences between points and generalized spheres over finite fields and related problems. (English) Zbl 1359.52023 Forum Math. 29, No. 2, 449-456 (2017). MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cilleruelo, Javier; Iosevich, Alex; Lund, Ben; Roche-Newton, Oliver; Rudnev, Misha Elementary methods for incidence problems in finite fields. (English) Zbl 1366.52018 Acta Arith. 177, No. 2, 133-142 (2017). Reviewer: Steven T. Dougherty (Scranton) MSC: 52C10 51E30 05B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pham, Thang; Tait, Michael; Timmons, Craig; Vinh, Le Anh A Szemerédi-Trotter type theorem, sum-product estimates in finite quasifields, and related results. (English) Zbl 1420.11026 J. Comb. Theory, Ser. A 147, 55-74 (2017). MSC: 11B30 11B75 12K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hieu, Do Duy; Thang, Pham Van Distinct distances on regular varieties over finite fields. (English) Zbl 1410.11085 J. Number Theory 173, 602-613 (2017). MSC: 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ham, Le Quang; Thang, Pham Van; Vinh, Le Anh Conditional expanding bounds for two-variable functions over finite valuation rings. (English) Zbl 1348.05123 Eur. J. Comb. 60, 114-123 (2017). MSC: 05C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elsholtz, Christian Almost all primes have a multiple of small Hamming weight. (English) Zbl 1388.11069 Bull. Aust. Math. Soc. 94, No. 2, 224-235 (2016). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11A41 11A63 11B13 11B50 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lund, Ben; Saraf, Shubhangi Incidence bounds for block designs. (English) Zbl 1353.05028 SIAM J. Discrete Math. 30, No. 4, 1997-2010 (2016). MSC: 05B05 05D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oberlin, Richard Unions of lines in \(F^n\). (English) Zbl 1354.52021 Mathematika 62, No. 3, 738-752 (2016). Reviewer: Boris A. Kats (Kazan) MSC: 52C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv